102101120689 has 2 divisors, whose sum is σ = 102101120690. Its totient is φ = 102101120688.

The previous prime is 102101120687. The next prime is 102101120699. The reversal of 102101120689 is 986021101201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100067832225 + 2033288464 = 316335^2 + 45092^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101120689 - 2¹ = 102101120687 is a prime.

Together with 102101120687, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 102101120689.

It is not a weakly prime, because it can be changed into another prime (102101120687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050560344 + 51050560345.

It is an arithmetic number, because the mean of its divisors is an integer number (51050560345).

Almost surely, 2^102101120689 is an apocalyptic number.

It is an amenable number.

102101120689 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101120689 is an equidigital number, since it uses as much as digits as its factorization.

102101120689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 102101120689 in words is "one hundred two billion, one hundred one million, one hundred twenty thousand, six hundred eighty-nine".